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Analyse harmonique : séminaire de Villetaneuse / B. Host, J.-F. Méla, F. Parreau

Auteur principal : Host, Bernard, AuteurCo-auteur : Parreau, François, Auteur • Méla, Jean-François, 1939-, AuteurType de document : SéminaireCollection : Astérisque, 135-136Langue : français.Pays : France.Éditeur : Paris : Société Mathématique de France, 1986Description : 1 vol. (261 p.) ; 24 cmISSN : 0303-1179.Bibliographie : Bibliogr. en fin de chapitres.Sujet MSC : 43-02, Research exposition (monographs, survey articles) pertaining to abstract harmonic analysis
43A10, Abstract harmonic analysis, Measure algebras on groups, semigroups, etc.
43A25, Abstract harmonic analysis, Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups
43A05, Abstract harmonic analysis, Measures on groups and semigroups, etc.
22A30, Topological and differentiable algebraic systems, Other topological algebraic systems and their representations
En-ligne : Numdam
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Séries SMF 135/136 (Browse shelf) Available 09654-01

In the book in hand important progresses of Fourier analysis of singular measures are presented. The techniques rest upon properties of L-spaces and semi-topological semigroups. The study uses also idempotent elements, properties at infinity of Fourier-Stieltjes transforms, Gelfand theory, and many concrete investigations with Riesz products. In the theorems many new informations are given on representing measures by simpler ones, on spectra of measures, on group topologies, on L- ideals, on the behaviour of Fourier-Stieltjes transforms at infinity, and on Riesz products. (Zentralblatt)

Bibliogr. en fin de chapitres

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